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  • Two-Grid $hp$-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

    S. Congreve & P. Houston
    2014-11-01
    33105 2626 Pages:496-524
  • Analysis of the [$L^2$, $L^2$, $L^2$] Least-Squares Finite Element Method for Incompressible Oseen-Type Problems

    C. L. Chang & S.-Y. Yang
    2021-11-09
    31018 2415 Pages:402-424
  • Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

    Marco Agnese, Robert Nürnberg
    2020-08-04
    35812 2688 Pages:613-642
  • A New Finite Volume Method for the Stokes Problems

    Junping Wang, Yanqiu Wang, Xiu Ye
    2010-07-01
    31457 2646 Pages:281-302
  • A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

    Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui
    2019-02-22
    35955 2797 Pages:210-224
  • An Immersed Eulerian-Lagrangian Localized Adjoint Method for Transient Advection-Diffusion Equations with Interfaces

    Kaixin Wang, Hong Wang, Xijun Yu
    2012-09-01
    33043 3752 Pages:29-42
  • An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

    ​Irene Sykopetritou, Christos Xenophontos
    2021-05-25
    40239 2715 Pages:481-499
  • A Novel Adaptive Finite Volume Method for Elliptic Equations

    Yanhui Zhou, Qingsong Zou
    2017-10-03
    33368 2760 Pages:879-892
  • Local and Parallel Finite Element Algorithm Based on Multilevel Discretization for Eigenvalue Problems

    Xiaole Han, Yu Li, Hehu Xie, Chunguang You
    2018-08-15
    33349 4178 Pages:73-89
  • An Error Estimate of the Coupled Finite-Infinite Element Method for Scattering from an Arc

    Wei Sun, Fuming Ma
    2014-11-01
    33049 2682 Pages:841-853
  • Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems

    Marta Benitez, Alfredo Bermudez
    2021-10-20
    34754 2676 Pages:271-287
  • Compressible Lattice Boltzmann Method and Applications

    Bing He, Yingchun Chen, Weibing Feng, Qing Li, Anping Song, Yang Wang, Miao Zhang, Wu Zhang
    2012-09-01
    31791 2497 Pages:410-418
  • An Optimal-Order Error Estimate for an $H^1$-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow

    H. Chen, Z. Zhou & H. Wang
    2012-09-01
    32954 3787 Pages:132-148
  • A Three-Stage Operator-Splitting/Finite Element Method for the Numerical Simulation of Liquid Crystal Flow

    R. Glowinski, P. Lin, X.-B. Pan
    2009-08-07
    31270 2450 Pages:440-454
  • High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

    Champike Attanayake, So-Hsiang Chou, Quanling Deng
    2023-11-13
    22551 2025 Pages:870-895
  • The Discrete Raviart-Thomas Mixed Finite Element Method for the $p$-Laplace Equation

    M.M. Guo, D.J. Liu
    2023-03-30
    29424 2552 Pages:313-328
  • Error Analysis of a Mixed Finite Element Method for the Monge-Ampère Equation

    Gerard Awanou, Hengguang Li
    2014-11-01
    33033 2655 Pages:745-761
  • The Finite Element Method of a Euler Scheme for Stochastic Navier-Stokes Equations Involving the Turbulent Component

    Yuanyuan Duan, Xiaoyuan Yang
    2013-10-01
    33301 2575 Pages:727-744
  • The Immersed Finite Element Method for Parabolic Problems Using the Laplace Transformation in Time Discretization

    Tao Lin, Dongwoo Sheen
    2013-10-01
    32462 2647 Pages:298-313
  • Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method

    G. Wang & X. Yang
    2009-06-01
    31374 3697 Pages:161-176
  • Analysis of Stabilized Finite Volume Method for the Transient Stokes Equations

    L. Shen, J. Li & Z. Chen
    2009-08-07
    31001 2511 Pages:505-519
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    33115 2694 Pages:517-531
  • Uniform Equivalence of $L^2$- and Discrete $ℓ^2$-Norms on $Q_1$-Finite Element Spaces with Mass Lumping in Any Finite Dimension

    Peng Ma, Dongwoo Sheen, Yinnian He, Xinlong Feng
    2026-03-16
    229 86 Pages:408-431
  • A Discontinuous Ritz Method for a Class of Calculus of Variations Problems

    Xiaobing Feng, Stefan Schnake
    2019-02-22
    37729 4015 Pages:340-356 Open-access
  • Enhanced Gradient Recovery-Based a Posteriori Error Estimator and Adaptive Finite Element Method for Elliptic Equations

    Ying Liu, Jingjing Xiao, Nianyu Yi, Huihui Cao
    2026-03-11
    244 60 Pages:353–373
  • An Energy-Dissipation Finite Element Pressure-Correction Scheme for the Hydrodynamics of Smectic-A Liquid Crystals

    Panpan Guo, Guang-An Zou, Min Zhang
    2025-05-26
    7941 534 Pages:637-670
  • A High-Order Mixed Finite Element Method for Second Order Elliptic Equations on Curved Domain with Boundary Value Corrections

    Yongli Hou, Yi Liu, Tengjin Zhao
    2026-03-11
    253 66 Pages:442–459
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